103432221312 has 256 divisors, whose sum is σ = 319291269120. Its totient is φ = 29055836160.

The previous prime is 103432221293. The next prime is 103432221341. The reversal of 103432221312 is 213122234301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84571933 + ... + 84573155.

It is an arithmetic number, because the mean of its divisors is an integer number (1247231520).

Almost surely, 2^103432221312 is an apocalyptic number.

103432221312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103432221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159645634560).

103432221312 is an abundant number, since it is smaller than the sum of its proper divisors (215859047808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103432221312 is a wasteful number, since it uses less digits than its factorization.

103432221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103432221312 its reverse (213122234301), we get a palindrome (316554455613).

The spelling of 103432221312 in words is "one hundred three billion, four hundred thirty-two million, two hundred twenty-one thousand, three hundred twelve".